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Finding the Fourth Proportional to 16,542.13, 22,829.16 and 9,468.40

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Solution

The fourth proportional to 16,542.13, 22,829.16 and 9,468.40 is: 13,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.13 : 22,829.16 = 9,468.40 : x
  2. Step 2: Convert to fraction form
    16,542.13/22,829.16 = 9,468.40/x
  3. Step 3: Cross multiply
    16,542.13x = 22,829.16 × 9,468.40
  4. Step 4: Simplify right side
    16,542.13x = 216,155,618.54
  5. Step 5: Solve for x
    x = 216,155,618.54/16,542.13
  6. Step 6: Final answer
    x = 13,066.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.